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on skew power series-wise mccoy rings
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نویسنده
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zahiri masoome ,zahiri saeide
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منبع
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journal of mahani mathematical research - 2023 - دوره : 12 - شماره : 2 - صفحه:19 -27
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چکیده
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Let $r$ be a ring with an endomorphism $alpha$. a ring $r$ is a skew power series mccoy ring if whenever any non-zero power series $f(x)=sum_{i=0}^{infty}a_ix^i,g(x)=sum_{j=0}^{infty}b_jx^jin r[[x;alpha]]$ satisfy $f(x)g(x)=0$, then there exists a non-zero element $cin r$ such that $a_ic=0$, for all $i=0,1,ldots$. we investigate relations between the skew power series ring and the standard ring-theoretic properties. moreover, we obtain some characterizations for skew power series ring $r[[x;alpha]]$, to be mccoy, zip, strongly textit{ab} and has property (a).
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کلیدواژه
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noetherian ring ,α-compatible ring ,skew power series mccoy ring ,zip ring ,reversible rin
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آدرس
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higher education center of eghlid, department of mathematics, iran, higher education center of eghlid, department of mathematics, iran
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پست الکترونیکی
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s.zahiri@eghlid.ac.ir؛ saeede.zahiri@yahoo.com
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Authors
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